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In mathematics, the word constant conveys multiple meanings. As an adjective, it refers to non-variance (i.e. unchanging with respect to some other value); as a noun, it has two different meanings: A fixed and well-defined number or other non-changing mathematical object, or the symbol denoting it.
The circumference of a circle with diameter 1 is π.. A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
4. Mean value: If x is a variable that takes its values in some sequence of numbers S, then ¯ may denote the mean of the elements of S. 5. Negation: Sometimes used to denote negation of the entire expression under the bar, particularly when dealing with Boolean algebra.
In mathematics, a variable (from Latin variabilis, "changeable") is a symbol, typically a letter, that refers to an unspecified mathematical object. [ 1 ] [ 2 ] [ 3 ] One says colloquially that the variable represents or denotes the object, and that any valid candidate for the object is the value of the variable.
A specific element x of X is a value of the variable, and the corresponding element of Y is the value of the function at x, or the image of x under the function. The image of a function, sometimes called its range, is the set of the images of all elements in the domain. [6] [7] [8] [9]
As one moves to the left of the black dotted line, the sensitivity increases, reaching its maximum value of 100% at line A, and the specificity decreases. The sensitivity at line A is 100% because at that point there are zero false negatives, meaning that all the negative test results are true negatives.
In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined, ill defined or ambiguous. [1]
The value of a function, given the value(s) assigned to its argument(s), is the quantity assumed by the function for these argument values. [ 1 ] [ 2 ] For example, if the function f is defined by f ( x ) = 2 x 2 – 3 x + 1 , then assigning the value 3 to its argument x yields the function value 10, since f (3) = 2·3 2 – 3·3 + 1 = 10 .